Infinite products of absolute zeta functions
Nobushige Kurokawa, Hidekazu Tanaka
TL;DR
This paper investigates the properties of infinite products of absolute zeta functions, focusing on their convergence and rationality to understand their mathematical structure.
Contribution
It introduces new results on the convergence and rationality of infinite products of absolute zeta functions, expanding understanding of their analytical behavior.
Findings
Identified conditions for convergence of the infinite products.
Proved rationality under certain mathematical conditions.
Enhanced understanding of the structure of absolute zeta functions.
Abstract
We study some infinite products of absolute zeta functions. Especially, we consider the convergence and the rationality of them.
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic and geometric function theory · Analytic Number Theory Research